ASVAB Math Knowledge Practice Test 396953 Results

Your Results Global Average
Questions 5 5
Correct 0 3.46
Score 0% 69%

Review

1

The endpoints of this line segment are at (-2, -2) and (2, 10). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2x + 2
y = 1\(\frac{1}{2}\)x - 2
y = 3x + 4
y = 2x + 1

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, 10) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(10.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3

Plugging these values into the slope-intercept equation:

y = 3x + 4


2

Simplify (7a)(2ab) + (5a2)(3b).

65% Answer Correctly
29ab2
-a2b
72a2b
29a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(2ab) + (5a2)(3b)
(7 x 2)(a x a x b) + (5 x 3)(a2 x b)
(14)(a1+1 x b) + (15)(a2b)
14a2b + 15a2b
29a2b


3

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

deconstructing

factoring

normalizing

squaring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


4

Which of the following is not a part of PEMDAS, the acronym for math order of operations?

88% Answer Correctly

exponents

pairs

addition

division


Solution

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)


5

What is 9a8 + 4a8?

75% Answer Correctly
5a16
36a16
a816
13a8

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

9a8 + 4a8 = 13a8